\begin{table}%t3
\caption{\label{phys_param:tab}Measured physical parameters and mass fluxes of knots in HH~52, HH~53, and HH~54.}


\small%\centerline
 {
\begin{tabular}{llllllll}
 \hline \hline
&&&&&&& \\[-8pt]
Knot   &  Log~($N_{\rm e}$) & $X_{\rm e}$ ($N_{\rm e}$/$N_{\rm H}$) & $T_{\rm e}$ &  Log~($N_{\rm H}$)&  $r_{\rm knot}$ & $\dot{M}$ (A)$^a$ & $\dot{M}$ (B)$^b$ \\
       &  (cm$^{-3}$) &  & (K) & (cm$^{-3}$) &  $(\arcsec)$ & (10$^{-8}$ $M_{\odot}$ yr$^{-1}$) & (10$^{-8}$ $M_{\odot}$ yr$^{-1}$)\\
\hline
HH~52~A1    &  2.82 $\pm$ 0.02 & 0.43 $\pm$ 0.02 & 17~500 $\pm$ 700 & 3.18 $\pm$ 0.16&  1.5   & 8.2 $\pm$ 0.7  & 1.1 $\pm$ 0.1 \\
HH~52~A3-4  &  $2.46\pm^{0.26}_{0.36}$ & 0.35 $\pm$ 0.06 & 23~800 $\pm$ 2600 & 2.9 $\pm$ 0.5 &  1.3   & 1.5 $\pm$ 0.4  & 0.3 $\pm$ 0.03\\
HH~52~D4   &  2.2 $\pm$ 0.2 & 0.5 $\pm$ 0.05 & 21~000 $\pm$ 1000 & 2.5 $\pm$ 0.1 &  1.6   & 2.1 $\pm$ 0.2  & 0.2 $\pm$ 0.03 \\
HH~52~B   &  2.88 $\pm$ 0.03 & 0.40 $\pm$ 0.03 & $21~500\pm^{900}_{800}$ & $3.28\pm^{0.26}_{0.25}$ &  3.3   & 16 $\pm$ 2  & 3 $\pm$ 0.3\\
HH~52~D2-D3   &  $2.45\pm^{0.18}_{0.21}$ & $0.23 \pm ^{0.04}_{0.06}$ & $14~200\pm^{2400}_{1800}$ & $3.09\pm^{0.53}_{0.76}$ &  2.4   & 7 $\pm$ 2  & 1 $\pm$ 0.1\\
HH~53~A  &  2.88 $\pm$ 0.03 & 0.43 $\pm$ 0.03 & 21~600 $\pm$ 800 & 3.15 $\pm$ 0.20 &  0.8   & 1.1 $\pm$ 0.2  & 0.2 $\pm$ 0.02\\
HH~53~B  &  $2.60\pm^{0.18}_{0.22}$  & $0.31\pm^{0.05}_{0.09}$ & $17~300\pm^{2500}_{1900}$ & 2.92 $\pm$ 0.03 &  0.8   & 0.7 $\pm$ 0.1  & 0.3 $\pm$ 0.02\\
HH~53~C   &  2.46 $\pm$ 0.11 & 0.34 $\pm$ 0.04 & $18~600\pm^{1200}_{1100}$ & 2.9 $\pm$ 0.3 &  0.6   & 0.3 $\pm$ 0.03  & 0.07 $\pm$ 0.01\\
HH~53~C1   &  $2.59\pm^{0.13}_{0.15}$ & 0.32 $\pm$ 0.09 & 24~200 $\pm$ 3700 & $3.08\pm^{0.85}_{0.89}$ &  0.6   & 1.3 $\pm$ 0.1  & 0.3 $\pm$ 0.06\\
HH~54~C2   &  $2.76\pm^{0.06}_{0.05}$ & $0.49\pm^{0.03}_{0.04}$ & $22~600\pm^{2800}_{1600}$ & 3.06 $\pm$ 0.20 &  0.7   & 0.3 $\pm$ 0.05 & 0.3 $\pm$ 0.05 \\
HH~54~C3    &  $2.66\pm^{0.15}_{0.16}$ & 0.50 $\pm$ 0.07 & 26~000 $\pm$ 7000 & 2.9 $\pm$ 0.4&  0.7   & 0.2 $\pm$ 0.05 & 0.1 $\pm$ 0.05 \\
HH~54~G-G0      &  2.65 $\pm$ 0.01 & $0.6\pm^{0.05}_{0.1}$ & $19~700\pm^{800}_{1700}$ & $2.85\pm^{0.09}_{0.01}$  &  0.7   & 0.6 $\pm$ 0.03 & 0.05 $\pm$ 0.01\\
HH~54~G1-G3   &  $2.00\pm^{0.21}_{0.27}$ & $0.35\pm^{0.09}_{0.11}$ & 23~000 $\pm$ 3000 & $2.15\pm^{0.56}_{0.65}$ &  0.7   & 19 $\pm$ 6     & 3 $\pm$ 0.5 \\
HH~54~X3   &  1.70 $\pm$ 0.7 & 0.34 $\pm$ 0.07 & $25~400\pm^{3600}_{3800}$ & $2.17\pm^{0.51}_{0.48}$ &  1.3  & 0.3 $\pm$ 0.08  & 0.4 $\pm$ 0.2\\
HH~54~X4A-X4B &  2.6 $\pm$ 0.3 & 0.45 $\pm$ 0.05 & 26~000 $\pm$ 2000 & 3.0 $\pm$ 0.2&  2.1 & 0.8 $\pm$ 0.1  & 0.6 $\pm$ 0.2 \\
\hline
\end{tabular}}
\medskip
Notes: $^{a}$ $\dot{M}$ derived with method~A (see text);
$^{b}$~$\dot{M}$ measured from [\ion{S}{ii}], [\ion{O}{i}], and [\ion{N}{ii}]~line luminosities (average value) multiplied by a correction factor that takes the entire area of the knot into account (method~B, see~text).
\end{table}